Question

Of 400 people at the school carnival, 95% are students and the rest are teachers.

A. How many students are at the school carnival?


B. if 55% of the students at the school carnival are boys, how many are girls?



C. How many teachers are at the school carnival?


D. if 35% of the teachers are male and the rest are female, how many female teachers are at the carnival?

Answer 1

Answer: Hence, A) 380, B) 171, C) 20, D) 13

Step-by-step explanation:

Since we have given that

Total number of people at the school carnival = 400

Percentage of people who are students = 95%

A) Number of students are at the school carnival is given by

$\frac{95}{100}\times 400\\\\=95\times 4\\\\=380$

B)  if 55% of the students at the school carnival are boys, how many are girls?

Percentage of students who are boys = 55%

Percentage of students who are girls is given by

$100-55=45\%$

Number of girls is given by

$\frac{45}{100}\times 380\\\\=0.45\times 380\\\\=171$

C)  How many teachers are at the school carnival?

Percentage of people who are teachers are given by

$100-95=5\%$

Number of teachers at the school carnival is given by

$\frac{5}{100}\times 400\\\\=0.05\times 400\\\\=20$

D. if 35% of the teachers are male and the rest are female, how many female teachers are at the carnival?

Percentage of teachers who are male = 35%

Percentage of teachers who are female is given by

$100-35\\\\=65\%$

Number of teachers who are female is given by

$\frac{65}{100}\times 20\\\\=0.65\times 20\\\\=13$

Hence, A) 380, B) 171, C) 20, D) 13